SOLUTION: please help with graphing and linear equations question 1) what is the slope of.. 3x+7y=-14 question 2)find the equation of the line.. through (-5.-8)parallel to 3x+5y=8 questi

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Question 916709: please help with graphing and linear equations
question 1) what is the slope of.. 3x+7y=-14
question 2)find the equation of the line.. through (-5.-8)parallel to 3x+5y=8
question 3)determine equation (0,-3)(-4,12)
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Solve the equation for in terms of everything else. Then the slope is the coefficient on

John

My calculator said it, I believe it, that settles it

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Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

question 1) what is the slope of




the slope is

question 2)find the equation of the line..
through (,)parallel to


Solved by pluggable solver: Finding the Equation of a Line Parallel or Perpendicular to a Given Line


Since any two parallel lines have the same slope we know the slope of the unknown line is (its from the slope of which is also ). Also since the unknown line goes through (-5,-8), we can find the equation by plugging in this info into the point-slope formula

Point-Slope Formula:

where m is the slope and (,) is the given point



Plug in , , and



Distribute



Multiply



Subtract from both sides to isolate y

Make into equivalent fractions with equal denominators



Combine the fractions



Reduce any fractions

So the equation of the line that is parallel to and goes through (,) is


So here are the graphs of the equations and



graph of the given equation (red) and graph of the line (green) that is parallel to the given graph and goes through (,)







question 3)determine equation
given points:(,)and(,)
Solved by pluggable solver: Find the equation of line going through points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (0, -3) and (x2, y2) = (-4, 12).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(-3.75)x + (-3)

Your graph:
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